Invariants of pairs in $\mathrm {SL}(4, \mathbb {C})$ and $\mathrm {SU}(3, 1)$
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- by Krishnendu Gongopadhyay and Sean Lawton PDF
- Proc. Amer. Math. Soc. 145 (2017), 4703-4715 Request permission
Abstract:
We describe a minimal global coordinate system of order 30 on the $\mathrm {SL}(4,\mathbb {C})$-character variety of a rank 2 free group. Using symmetry within this system, we obtain a smaller collection of 22 coordinates subject to 5 further real relations that determine conjugation classes of generic pairs of matrices in $\mathrm {SU}(3,1)$.References
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Additional Information
- Krishnendu Gongopadhyay
- Affiliation: Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, S.A.S. Nagar, Sector 81, P. O. Manauli, Pin 140306, India
- MR Author ID: 866190
- Email: krishnendug@gmail.com, krishnendu@iisermohali.ac.in
- Sean Lawton
- Affiliation: Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, Virginia 22030
- MR Author ID: 802618
- ORCID: 0000-0002-7186-3255
- Email: slawton3@gmu.edu
- Received by editor(s): March 3, 2016
- Received by editor(s) in revised form: December 9, 2016
- Published electronically: June 16, 2017
- Communicated by: Michael Wolf
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4703-4715
- MSC (2010): Primary 14D20, 20H10; Secondary 20C15, 14L30, 20E05, 30F40, 15B57, 51M10
- DOI: https://doi.org/10.1090/proc/13638
- MathSciNet review: 3691988